Can I recover the restrictions from my old account?

I changed my machine so I had to reinstall Bisq, and now I have a brand new account that suffers from the typical new account limits.

Is there any way to link this new account with my old account which had less restrictions? I no longer have access to my old laptop with the Bisq intallation, but I still have the bank transfers logged in my bank transfers history, so I can prove that I know when transfers went out and how much

Yes.
Follow this procedure: Carry over account age witness to new data directory

Unless you made a copy of your old data directory, no.
If you can’t access it anymore, I am afraid it is lost now.

The account age is a decentralized system, like everything in Bisq, if you lost the hash that proved your account’s age, there is nothing anyone can do about it now.